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(2) x/2 is an even integerx= x/2 * 2 = even * even = even=> x is even integer Not sufficient

Combining 1 and 2 , we getx=4

Answer C
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When everything seems to be going against you, remember that the airplane takes off against the wind, not with it. - Henry FordThe Moment You Think About Giving Up, Think Of The Reason Why You Held On So Long+1 Kudos if you find this post helpful

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Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.

What is the value of x?

(1) 9 < 3x < 15(2) x/2 is an even integer

In the original condition, there is 1 variable(x), which should match with the number of equations. So you need 1 equation. For 1) 1 equation, for 2) 1 equation, which is likely to make D the answer.For 1), 3<x<5 -> x=4,4.1...., which is not unique and not sufficient.For 2), x/2=even, x=2even=multiple of 4=4,8.., which is not unique and not sufficient.When 1) & 2), x=4, which is unique and sufficient.Therefore, the answer is C.

 For cases where we need 1 more equation, such as original conditions with “1 variable”, or “2 variables and 1 equation”, or “3 variables and 2 equations”, we have 1 equation each in both 1) and 2). Therefore, there is 59 % chance that D is the answer, while A or B has 38% chance and C or E has 3% chance. Since D is most likely to be the answer using 1) and 2) separately according to DS definition. Obviously there may be cases where the answer is A, B, C or E.
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04 Nov 2017, 09:44

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